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Cube Tilings of Rn and Nonlinear Codes  (Make Corrections)  
Jeffrey C. Lagarias, Peter W. Shor



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Abstract: Families of non-lattice tilings of R n by unit cubes are constructed. These tilings are specializations of certain families of nonlinear codes over GF(2). These cube-tilings provide building blocks for the construction of cube-tilings such that no two cubes have a high-dimensional face in common. We construct cube-tilings of R n such that no two cubes have a common face of dimension exceeding n - 3 1 __ Ö"n . Cube-Tilings of R n and Nonlinear Codes Jeffrey C. Lagarias Peter W. ... (Update)

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BibTeX entry:   (Update)

@misc{ lagarias-cube,
  author = "Jeffrey C. Lagarias and Peter W. Shor",
  title = "Cube Tilings of Rn and Nonlinear Codes",
  url = "citeseer.ist.psu.edu/100746.html" }
Citations (may not include all citations):
4   A combinatorial approach for Keller's conjecture (context) - Corradi, Szabo - 1990
1   ber einfache und mehrfache Bedeckung des n-dimensionalen Rau.. (context) - Hajos - 1942
1   Sur la factorisation des groupes abelians (context) - Hajos

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